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Paper Citation Record · LEDGER

Ultra-thin, entirely flat, Umklapp lenses

As of 24 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:1908.07797.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.07797 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:00:43.617021Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

  • verified exact2
  • verified fuzzy13
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0557da6c-deb6-418a-8b6d-1adab96b9cc4 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.711664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.331016Z digest=sha256:011860f14d98c6bab2617c7e5fa8dbffbbc73ef9d6a18331804c6edb1605a15c

Observation 0fe59d7d-485f-4905-a9d4-4a98ec52c941 · outbound

This paper cites Yu and F.

Ultra-thin, entirely flat, Umklapp lenses Yu and F

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T12:00:43.342255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:00:43.342255Z digest=sha256:a32360656a8ba2b3174fcd336e709b8f29a7832f40107ab70d625cd1bcfef90d

Observation 76a84b6d-3adf-4d17-85a1-c43e246b529c · outbound

This paper cites Lalanne and P.

Ultra-thin, entirely flat, Umklapp lenses Lalanne and P

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T12:00:43.349566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:00:43.349566Z digest=sha256:a6d3eda598037f2ebde1bf7d5fd8e9288fb27c8b513944fa1879cf3aba9fd9f9

Observation a7b728ac-78c7-4cce-8668-4b4b12d8ee6e · outbound

This paper cites Verhagen, R.

Ultra-thin, entirely flat, Umklapp lenses Verhagen, R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.622077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.355627Z digest=sha256:219f7256bd4cfaea7ebd69f109771534057dbf2e4ec90a0e2468b7817477317a

Observation dbf3faf0-eecf-45c5-aa81-fbee2f9a35e6 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.599610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.365152Z digest=sha256:eaf751da5e4c1845293d461395283de36c8077f5b746a97823ce6ea06cd77f3f

Observation 0f9c8e09-d106-4cda-96ff-ab64bd78bfba · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.561356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.373481Z digest=sha256:35a536e5bddb61ac8743e27d1e147615593adfddb7af87e302b7554cec4effe6

Observation b876f4e9-0c5d-4d36-b57f-568daa6fb290 · outbound

This paper cites Khorasaninejad, W.

Ultra-thin, entirely flat, Umklapp lenses Khorasaninejad, W

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.535598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.390531Z digest=sha256:585e230d0f19aea8322f8d0d074f75ab04bce26186e2c3c153558b4c52db555f

Observation 1ec7b07e-6d11-4748-aa18-12b2a69b69e3 · outbound

This paper cites Genevet, F.

Ultra-thin, entirely flat, Umklapp lenses Genevet, F

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.508657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.398827Z digest=sha256:b934bb0035e439b94be6fb8405e0fc0f9da77394864e6924b24763490021356e

Observation 317f31a7-6aea-4186-8864-89ce27d8fb44 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.481700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.412567Z digest=sha256:8aaf1532cf1a3a44bcd7dd4568deadb36df39480594382afa8f5fddbe04ca8e1

Observation 0019589a-920a-4304-9221-00c3a3ac632d · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 10

Resolution
verified exact
doi, observed 2026-08-14T12:00:43.700826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.422369Z digest=sha256:c8507cfc63f3d34dc9007049e367feec1424046f4a7e088fada521e26a294bc4

Observation bb3d3267-8145-4591-b50b-82c7645a997e · outbound

This paper cites Banerji, M.

Ultra-thin, entirely flat, Umklapp lenses Banerji, M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.461167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.432715Z digest=sha256:31c1d3806af581fd7cae908a4e1cea9419b6a1b2a1440211e7db543bf83e11d5

Observation 602201ab-9031-4999-9c5d-856ce4a2c46a · outbound

This paper cites Peierls, Annalen der Physik 395, 1055 (1929).

Ultra-thin, entirely flat, Umklapp lenses Peierls, Annalen der Physik 395, 1055 (1929)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.442736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.440286Z digest=sha256:7c4ef2bb72b734ed0fce3389e95a3efbae5929b4391a0b7891c0ac99bf4edbe8

Observation 63796777-2b94-4846-a235-276ca77253e3 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.419656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.449477Z digest=sha256:b4d02459d71d46175a0f53ed8d5dab31ffccc867751f55fa7140f2e7ef5d4bbb

Observation 3fb3c3c2-ab1f-4e15-ad4f-cec7dd4dadf2 · outbound

This paper cites Chaplain, M.

Ultra-thin, entirely flat, Umklapp lenses Chaplain, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.369584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.456824Z digest=sha256:7378aae95056f0d7dded6bfddc839e038f96152a5e0d49e0ed312ab66912ba6a

Observation 36a229c1-0017-42bc-8d61-a803d17527b3 · outbound

This paper cites Colombi, D.

Ultra-thin, entirely flat, Umklapp lenses Colombi, D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.343921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.464332Z digest=sha256:86a3531a6f77a6f4436d565e6e6e138f5027d14bfc7368284faead208a22a664

Observation 239d2839-146f-44d8-b50f-35a30ed10337 · outbound

This paper cites Colombi, V.

Ultra-thin, entirely flat, Umklapp lenses Colombi, V

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.317267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.470213Z digest=sha256:c033d96a14388f6d310692d18a3acfa11ad8431e3859f25c83fa3d6452d7f08b

Observation 3eb1416f-4bde-464f-97eb-aa9065f672c1 · outbound

This paper cites Graded metasurface for enhanced sensing and energy harvesting.

Ultra-thin, entirely flat, Umklapp lenses Graded metasurface for enhanced sensing and energy harvesting

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:00:43.747715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.475946Z digest=sha256:71b7bed173ca8bb0144c174b4f997a14539c5ff7f0131742d933c3904df77aae

Observation 04197377-a4f5-4845-b0a5-fcbba9964887 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.280406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.487583Z digest=sha256:f150088ad39354c7efe38b7cd062ecb263b0510bbba82f29954a54cd934b8a24

Observation 1b568743-3cef-40a5-951c-cb61a697e0fd · outbound

This paper cites Naqvi, IEEE Transactions on Antennas and Propagation 38, 584 (1990).

Ultra-thin, entirely flat, Umklapp lenses Naqvi, IEEE Transactions on Antennas and Propagation 38, 584 (1990)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.254658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.493871Z digest=sha256:a511816731affe41e268a2fcb6d2e5939bccd4f23f3a28928f6ad4d9675d77de

Observation 3179553c-e93c-4374-8fcb-eb8e1d84dbe5 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.230157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.505879Z digest=sha256:d87e5403eedb737753f249783f1c3d40867deed61ab0a85e8547523078ad2540

Observation 55168b7f-9e23-478b-9d2a-6ea09aa3d72d · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.193905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.512647Z digest=sha256:de1fc9fec9c8fff6aa0801d13093beb71324be84f0fb0dad923c0451edc73c01

Observation 2c75f4e1-d65e-47cd-853e-95a0165027b4 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.162231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.519454Z digest=sha256:72df16b4687c3db190e017683527f2fbe50804da81d9be4f11956ca35898beda

Observation 95d17ab1-e576-43cd-a184-245302b4ed85 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.142367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.526518Z digest=sha256:2337b3ce9913b4f612ef6c81935d55bf600f2b78804bd2e48549321e9d76f865

Observation 4875c3ce-1798-452a-8a01-487703ad11d2 · outbound

This paper cites Mu ˜noz, G.

Ultra-thin, entirely flat, Umklapp lenses Mu ˜noz, G

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.110922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.532039Z digest=sha256:dbb1f2002f016462c2a452f9f654fa7d3cf78cbbceee5e4d7e80838cdba95dbe

Observation bef6b6f4-6a09-41b6-b692-317ead581953 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-14T12:00:43.538255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:00:43.538255Z digest=sha256:cb51e0c24b15b0ad8adcd3447b111bf27908f010d1831600436406b5c439871c

Observation e53d9ff1-aeb1-43df-aa02-7896c2f74691 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.058620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.546920Z digest=sha256:812ffbf808dc39261c67e2ce0971d8055add3e7005e8e20359140dbc45525afe

Observation 9a83f6be-0e9a-4575-bca6-d30779063b82 · outbound

This paper cites Wang and W.

Ultra-thin, entirely flat, Umklapp lenses Wang and W

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.037837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.553622Z digest=sha256:e27320d6f2af94f70788741984f8e461e190340663802af0bafbb7f95c9cd62f

Observation 5beac5ff-5929-4d05-a6e1-a9a026d0659b · outbound

This paper cites Brillouin, Wave propagation in periodic structures: electric filters and crystal lattices (Courier Corporation, 2003).

Ultra-thin, entirely flat, Umklapp lenses Brillouin, Wave propagation in periodic structures: electric filters and crystal lattices (Courier Corporation, 2003)

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.008242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.564983Z digest=sha256:696f784e9a60f04393b630a99f860c0ef96b6200138e049941756c468a34a266

Observation e35af5bc-089b-4011-a147-ef70b75c549c · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.975311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.571401Z digest=sha256:8de15188d015435082107cf5cf5596ebc62ec9e07844fd705ed2b89e3234e40f

Observation a6ac102f-3344-4378-bc80-7c513e3b3ebc · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.935253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.579464Z digest=sha256:a5889e615bfb9cec939daa9d673609c559ea51d555cae279bf13305d687c1747

Observation 2bc56036-e2ba-4550-b58e-0eddad4d050b · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.906730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.592080Z digest=sha256:5781f673831ddf13c131f99d42cd6086936c57a803eaecc837c3b8eb80d51324

Observation 685b6e85-7959-434a-aadc-44af5b245e79 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.876778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.596874Z digest=sha256:e26eccf7bf8513aa1cadd83f0daae927cc23c25f75ff5e98c2e014954f79ebdc

Observation f7c5676b-ed55-41f5-9b16-36c442a98581 · outbound

This paper cites Bauer, The Journal of Chemical Physics 26, 1440 (1957).

Ultra-thin, entirely flat, Umklapp lenses Bauer, The Journal of Chemical Physics 26, 1440 (1957)

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:43.850478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.601563Z digest=sha256:97a31dc25522c5524cd0e584f59c7f260273a82db419f91580da8f73091ceee6

Observation 1ab53c2c-39e9-41e1-b41d-09ba6c407525 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.818503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.607132Z digest=sha256:4aec4eab9e9ca43c7c9ff1b3311dce1472ef7a6a5367b83e2875fe6e8241bdb2

Observation 1f88d667-8f60-42b6-b036-35e7e0290674 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.779364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T12:00:43.617021Z digest=sha256:715e720bfdb2c774fb4a51c12c15d4114bc1cfdc84c4f4b4e4bd9241b59ae0f6

Pith citing papers

No inbound Pith citation observations are available.